Makena, who works for Costco's corporate office, is helping to construct an open top box from a 14 by 30-inch piece of cardboard. To do this, Makena is going to cut out squares from the four corners so that the four sides can

be bent upwards. She is trying to create a rectangular box with the largest possible volume.

a.) Write the formula that you will be typing into Desmos (this should be the formula you are optimizing in terms ofone variable)

b.) What should be the dimension of the square cuts? remember your units!"

c.) What is the largest possible volume for the box? "remember your units!"